My first thought was the city in Texas, but I still love it. In other parts of the country it probably doesn't have this association, though. Do you pronounce it Ab-il-lene or Abe-il-line? In the book The Help, one of the characters name's is Abileen, which would be pronounced like the latter. I love them both, but the Abileen pronunciation feels more "name-y" to me, probably because of my association with the city.